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23608038988704 = 253439679590867
BaseRepresentation
bin1010101111000101011001…
…10001110001101110100000
310002120220110211100202221110
411113202230301301232200
511043243230440114304
6122113214451223320
74654424133300612
oct527425461615640
9102526424322843
1023608038988704
117582127604525
1227934905a7b40
1310232c80b5691
145b88c6d30db2
152ae175095289
hex1578acc71ba0

23608038988704 has 96 divisors (see below), whose sum is σ = 63418949637120. Its totient is φ = 7685531142912.

The previous prime is 23608038988643. The next prime is 23608038988717. The reversal of 23608038988704 is 40788983080632.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39659479 + ... + 40250345.

It is an arithmetic number, because the mean of its divisors is an integer number (660614058720).

Almost surely, 223608038988704 is an apocalyptic number.

23608038988704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23608038988704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709474818560).

23608038988704 is an abundant number, since it is smaller than the sum of its proper divisors (39810910648416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23608038988704 is a wasteful number, since it uses less digits than its factorization.

23608038988704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600602 (or 600594 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 23608038988704 in words is "twenty-three trillion, six hundred eight billion, thirty-eight million, nine hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 9679 19358 29037 38716 58074 77432 116148 154864 232296 309728 416197 464592 590867 832394 929184 1181734 1248591 1664788 1772601 2363468 2497182 3329576 3545202 4726936 4994364 6659152 7090404 9453872 9988728 13318304 14180808 18907744 19977456 25407281 28361616 39954912 50814562 56723232 76221843 101629124 152443686 203258248 304887372 406516496 609774744 813032992 1219549488 2439098976 5719001693 11438003386 17157005079 22876006772 34314010158 45752013544 68628020316 91504027088 137256040632 183008054176 245917072799 274512081264 491834145598 549024162528 737751218397 983668291196 1475502436794 1967336582392 2951004873588 3934673164784 5902009747176 7869346329568 11804019494352 23608038988704